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Finding the Fourth Proportional to 262,738, 362,579.88 and 143,506

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Solution

The fourth proportional to 262,738, 362,579.88 and 143,506 is: 198,039.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,738 : 362,579.88 = 143,506 : x
  2. Step 2: Convert to fraction form
    262,738/362,579.88 = 143,506/x
  3. Step 3: Cross multiply
    262,738x = 362,579.88 × 143,506
  4. Step 4: Simplify right side
    262,738x = 52,032,388,259.28
  5. Step 5: Solve for x
    x = 52,032,388,259.28/262,738
  6. Step 6: Final answer
    x = 198,039.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.